25313788416 has 160 divisors (see below), whose sum is σ = 77193059328. Its totient is φ = 7221104640.

The previous prime is 25313788387. The next prime is 25313788417. The reversal of 25313788416 is 61488731352.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (25313788417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8718421 + ... + 8721323.

Almost surely, 2^25313788416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25313788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38596529664).

25313788416 is an abundant number, since it is smaller than the sum of its proper divisors (51879270912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25313788416 is an equidigital number, since it uses as much as digits as its factorization.

25313788416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3726 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 25313788416 in words is "twenty-five billion, three hundred thirteen million, seven hundred eighty-eight thousand, four hundred sixteen".